Math
Updated: 4/9/2021 This storyboard was created with StoryboardThat.com

#### Storyboard Text

• ﻿﻿﻿Hey, Jasmine. Today I would like to give you an equation for you to solve.﻿
• ﻿﻿Sure Jack, I love math equations﻿
• ﻿﻿﻿﻿﻿Okay, the math is equation that I would like for you to solve is 2/6(x+2)+5=-2/3(x-9)-8
• ﻿﻿﻿Okay, lets go to the study room so I can sit down.
• ﻿﻿﻿﻿....Jasmine goes to the ﻿study room and starts solving the equation in front of Jack
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿2/6(x+﻿﻿﻿﻿﻿2)+5= -2/3(x-9)-84/12(x+2)+5= -8/12(x-9)-812*4/12(x+2)+5= 12*-8/12(x-9)-84(x+2)+5= -8(x-9)-84x+8+5= -8x+72-84x-8x=72-8+8+5-4x=77x= -77/4
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿﻿However, when you multiply 12 with the fraction in order to get rid of the denominator, you have to multiply all the numbers in that line by 12
• ﻿﻿﻿﻿﻿﻿﻿﻿﻿For this equation you made 2 big mistakes.Number 1: Its common knowledge that you need to get rid of the
• ﻿﻿﻿﻿﻿as well. Example shown below: 12*(4(x+2))/12 A﻿ll the variables and numbers in those brackets are multiplied by 12
• ﻿﻿You were close, however you made a few mistakes. I will teach you how to properly solve that type of equation.﻿﻿﻿﻿﻿﻿
• ﻿﻿﻿﻿﻿denominators on fractions before you can start solving the equation. You chose 12 as your lowest common multiple and that was done nicely﻿.
• ﻿﻿Meaning, -8*12 =-96. The final equation for the right side should have been -8x+72-96﻿﻿.
• ﻿﻿﻿﻿However it eventually gets cancelled out due to the numbers and variables getting divided by 12.
• ﻿﻿In your case, you missed the chance to multiply 5 by 12, resulting in a incorrect equation for the left side.
• ﻿﻿﻿The final equation for the left side should have been 4x+8+60Since 5*12 is 60.﻿ This also applies to the right side.
• ﻿﻿﻿﻿When you move positive variables from the right side to the left side, they become negative. Vice versa.
• ﻿﻿﻿﻿The second mistake was near the end. You have to sort the variables to the left side and the numbers to the right side.
• ﻿﻿When you move negative numbers from the left side to the right side, they become positive. This also applies to variables.﻿
• ﻿﻿﻿﻿What this means is that when you move numbers that are positive﻿ from the left side to the right side, it becomes negative.
• ﻿Instead of 4x-8x=72-8+8+5,It should have been 4x+8x=72-96-8-60.﻿
• The = sign in the equation differentiates the left side and right side of the equation.﻿
• ﻿﻿The correct solution for this equation....
• ﻿﻿﻿﻿﻿﻿﻿2/6(x+2)+5= -2/3(x-9)-84/12(x+2)+5= -8/12(x-9)-812*4/12(x+2)+5= 12*-8/12(x-9)-84(x+2)+60= -8(x-9) - 964x+8+60= -8x+72-964x+8x=72-96-8-6012x=-92x=-92/12Orx= -23/3Or-7 2/3